Properties

Label 547.2.o.a.4.7
Level 547
Weight 2
Character 547.4
Analytic conductor 4.368
Analytic rank 0
Dimension 6480
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.o (of order \(273\), degree \(144\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(6480\)
Relative dimension: \(45\) over \(\Q(\zeta_{273})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{273}]$

Embedding invariants

Embedding label 4.7
Character \(\chi\) \(=\) 547.4
Dual form 547.2.o.a.137.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.14370 - 0.0246701i) q^{2} +(-0.0167644 + 0.0734497i) q^{3} +(2.59538 + 0.0597440i) q^{4} +(0.940362 - 1.76693i) q^{5} +(0.0377499 - 0.157041i) q^{6} +(-0.448666 - 1.10560i) q^{7} +(-1.27711 - 0.0441071i) q^{8} +(2.69779 + 1.29919i) q^{9} +O(q^{10})\) \(q+(-2.14370 - 0.0246701i) q^{2} +(-0.0167644 + 0.0734497i) q^{3} +(2.59538 + 0.0597440i) q^{4} +(0.940362 - 1.76693i) q^{5} +(0.0377499 - 0.157041i) q^{6} +(-0.448666 - 1.10560i) q^{7} +(-1.27711 - 0.0441071i) q^{8} +(2.69779 + 1.29919i) q^{9} +(-2.05945 + 3.76457i) q^{10} +(1.89559 + 1.97351i) q^{11} +(-0.0478982 + 0.189628i) q^{12} +(0.0532230 + 0.00802208i) q^{13} +(0.934530 + 2.38114i) q^{14} +(0.114016 + 0.0986909i) q^{15} +(-2.44998 - 0.112854i) q^{16} +(-0.318701 + 1.89222i) q^{17} +(-5.75121 - 2.85163i) q^{18} +(5.10191 - 2.75303i) q^{19} +(2.54616 - 4.52967i) q^{20} +(0.0887276 - 0.0144196i) q^{21} +(-4.01488 - 4.27739i) q^{22} +(-4.67650 - 1.09573i) q^{23} +(0.0246496 - 0.0930638i) q^{24} +(0.555028 + 0.824226i) q^{25} +(-0.113896 - 0.0185100i) q^{26} +(-0.281571 + 0.353078i) q^{27} +(-1.09840 - 2.89625i) q^{28} +(-5.89967 - 3.36107i) q^{29} +(-0.241981 - 0.214377i) q^{30} +(7.85577 + 2.82519i) q^{31} +(7.80075 + 0.449338i) q^{32} +(-0.176733 + 0.106146i) q^{33} +(0.729882 - 4.04849i) q^{34} +(-2.37542 - 0.246904i) q^{35} +(6.92417 + 3.53306i) q^{36} +(-0.102687 + 0.0828610i) q^{37} +(-11.0049 + 5.77581i) q^{38} +(-0.00148147 + 0.00377473i) q^{39} +(-1.27888 + 2.21508i) q^{40} +(0.741425 + 1.28419i) q^{41} +(-0.190561 + 0.0287225i) q^{42} +(-0.0245740 + 0.250427i) q^{43} +(4.80186 + 5.23526i) q^{44} +(4.83248 - 3.54510i) q^{45} +(9.99799 + 2.46428i) q^{46} +(-1.44559 + 0.116700i) q^{47} +(0.0493616 - 0.178058i) q^{48} +(3.99938 - 3.88595i) q^{49} +(-1.16948 - 1.78059i) q^{50} +(-0.133640 - 0.0551305i) q^{51} +(0.137654 + 0.0240001i) q^{52} +(10.9963 - 3.81229i) q^{53} +(0.612314 - 0.749948i) q^{54} +(5.26960 - 1.49355i) q^{55} +(0.524230 + 1.43176i) q^{56} +(0.116679 + 0.420887i) q^{57} +(12.5642 + 7.35067i) q^{58} +(-2.45271 + 1.04500i) q^{59} +(0.290018 + 0.262952i) q^{60} +(13.0619 - 6.10613i) q^{61} +(-16.7707 - 6.25016i) q^{62} +(0.225975 - 3.56558i) q^{63} +(-11.8179 - 0.817280i) q^{64} +(0.0642233 - 0.0864976i) q^{65} +(0.381480 - 0.223184i) q^{66} +(-4.14008 - 4.02266i) q^{67} +(-0.940199 + 4.89198i) q^{68} +(0.158880 - 0.325118i) q^{69} +(5.08611 + 0.587890i) q^{70} +(1.13510 - 0.224938i) q^{71} +(-3.38807 - 1.77820i) q^{72} +(9.72235 - 8.41557i) q^{73} +(0.222174 - 0.175096i) q^{74} +(-0.0698439 + 0.0269490i) q^{75} +(13.4059 - 6.84035i) q^{76} +(1.33143 - 2.98121i) q^{77} +(0.00326896 - 0.00805535i) q^{78} +(1.83311 + 1.31259i) q^{79} +(-2.50327 + 4.22282i) q^{80} +(5.57958 + 6.99657i) q^{81} +(-1.55771 - 2.77120i) q^{82} +(-5.14940 - 3.25628i) q^{83} +(0.231143 - 0.0321235i) q^{84} +(3.04372 + 2.34249i) q^{85} +(0.0588573 - 0.536234i) q^{86} +(0.345774 - 0.376983i) q^{87} +(-2.33382 - 2.60400i) q^{88} +(0.195723 + 2.26210i) q^{89} +(-10.4468 + 7.48042i) q^{90} +(-0.0150101 - 0.0624426i) q^{91} +(-12.0718 - 3.12322i) q^{92} +(-0.339207 + 0.529641i) q^{93} +(3.10179 - 0.214507i) q^{94} +(-0.0667657 - 11.6036i) q^{95} +(-0.163779 + 0.565430i) q^{96} +(0.0826286 + 0.620725i) q^{97} +(-8.66935 + 8.23165i) q^{98} +(2.54993 + 7.78686i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} + O(q^{10}) \) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} - 152q^{10} - 161q^{11} - 99q^{12} - 158q^{13} - 174q^{14} - 71q^{15} - 235q^{16} - 146q^{17} + 33q^{18} - 144q^{19} - 138q^{20} - 98q^{21} - 226q^{22} - 115q^{23} - 123q^{24} - 208q^{25} - 65q^{26} + 131q^{27} - 48q^{28} - 207q^{29} - 56q^{30} - 215q^{31} - 151q^{32} - 63q^{33} - 70q^{34} - 192q^{35} - 17q^{36} - 124q^{37} - 61q^{38} - 268q^{39} - 51q^{40} + 533q^{41} + 292q^{42} - 166q^{43} - 20q^{44} + 51q^{45} - 233q^{46} - 96q^{47} - 211q^{48} - 213q^{49} + 12q^{50} - 213q^{51} - 279q^{52} - 178q^{53} + 173q^{54} - 233q^{55} + 170q^{56} - 22q^{57} + 36q^{58} - 133q^{59} + 225q^{60} - 117q^{61} - 176q^{62} + 202q^{63} + 154q^{64} - 320q^{65} - 124q^{66} - 78q^{67} + 441q^{68} + 203q^{69} - 522q^{70} - 195q^{71} + 564q^{72} - 254q^{73} + 22q^{74} - 326q^{75} - 186q^{76} - 182q^{77} - 100q^{78} - 268q^{79} - 299q^{80} - 776q^{81} - 242q^{82} + 78q^{83} + 162q^{84} - 144q^{85} - 132q^{86} - 84q^{87} + 333q^{88} - 167q^{89} - 134q^{90} - 268q^{91} - 261q^{92} - 21q^{93} + 297q^{94} - 65q^{95} - 567q^{96} + 427q^{97} - 237q^{98} + 237q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{273}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.14370 0.0246701i −1.51583 0.0174444i −0.750407 0.660976i \(-0.770142\pi\)
−0.765419 + 0.643532i \(0.777468\pi\)
\(3\) −0.0167644 + 0.0734497i −0.00967895 + 0.0424062i −0.979537 0.201265i \(-0.935495\pi\)
0.969858 + 0.243671i \(0.0783518\pi\)
\(4\) 2.59538 + 0.0597440i 1.29769 + 0.0298720i
\(5\) 0.940362 1.76693i 0.420543 0.790194i −0.579144 0.815225i \(-0.696613\pi\)
0.999687 + 0.0250308i \(0.00796839\pi\)
\(6\) 0.0377499 0.157041i 0.0154113 0.0641116i
\(7\) −0.448666 1.10560i −0.169580 0.417877i 0.817954 0.575283i \(-0.195108\pi\)
−0.987534 + 0.157406i \(0.949687\pi\)
\(8\) −1.27711 0.0441071i −0.451526 0.0155942i
\(9\) 2.69779 + 1.29919i 0.899264 + 0.433063i
\(10\) −2.05945 + 3.76457i −0.651254 + 1.19046i
\(11\) 1.89559 + 1.97351i 0.571541 + 0.595037i 0.942745 0.333514i \(-0.108235\pi\)
−0.371204 + 0.928551i \(0.621055\pi\)
\(12\) −0.0478982 + 0.189628i −0.0138270 + 0.0547409i
\(13\) 0.0532230 + 0.00802208i 0.0147614 + 0.00222492i 0.156419 0.987691i \(-0.450005\pi\)
−0.141657 + 0.989916i \(0.545243\pi\)
\(14\) 0.934530 + 2.38114i 0.249764 + 0.636388i
\(15\) 0.114016 + 0.0986909i 0.0294388 + 0.0254819i
\(16\) −2.44998 0.112854i −0.612495 0.0282135i
\(17\) −0.318701 + 1.89222i −0.0772964 + 0.458931i 0.920393 + 0.390994i \(0.127869\pi\)
−0.997690 + 0.0679367i \(0.978358\pi\)
\(18\) −5.75121 2.85163i −1.35557 0.672135i
\(19\) 5.10191 2.75303i 1.17046 0.631589i 0.230566 0.973057i \(-0.425942\pi\)
0.939893 + 0.341468i \(0.110924\pi\)
\(20\) 2.54616 4.52967i 0.569338 1.01286i
\(21\) 0.0887276 0.0144196i 0.0193620 0.00314662i
\(22\) −4.01488 4.27739i −0.855976 0.911943i
\(23\) −4.67650 1.09573i −0.975117 0.228475i −0.290096 0.956998i \(-0.593687\pi\)
−0.685022 + 0.728523i \(0.740207\pi\)
\(24\) 0.0246496 0.0930638i 0.00503159 0.0189966i
\(25\) 0.555028 + 0.824226i 0.111006 + 0.164845i
\(26\) −0.113896 0.0185100i −0.0223369 0.00363010i
\(27\) −0.281571 + 0.353078i −0.0541883 + 0.0679500i
\(28\) −1.09840 2.89625i −0.207579 0.547340i
\(29\) −5.89967 3.36107i −1.09554 0.624134i −0.163521 0.986540i \(-0.552285\pi\)
−0.932021 + 0.362406i \(0.881956\pi\)
\(30\) −0.241981 0.214377i −0.0441795 0.0391396i
\(31\) 7.85577 + 2.82519i 1.41094 + 0.507419i 0.929422 0.369019i \(-0.120306\pi\)
0.481515 + 0.876438i \(0.340087\pi\)
\(32\) 7.80075 + 0.449338i 1.37899 + 0.0794325i
\(33\) −0.176733 + 0.106146i −0.0307652 + 0.0184776i
\(34\) 0.729882 4.04849i 0.125174 0.694311i
\(35\) −2.37542 0.246904i −0.401520 0.0417343i
\(36\) 6.92417 + 3.53306i 1.15403 + 0.588844i
\(37\) −0.102687 + 0.0828610i −0.0168816 + 0.0136223i −0.636382 0.771374i \(-0.719570\pi\)
0.619500 + 0.784996i \(0.287335\pi\)
\(38\) −11.0049 + 5.77581i −1.78523 + 0.936961i
\(39\) −0.00148147 + 0.00377473i −0.000237225 + 0.000604441i
\(40\) −1.27888 + 2.21508i −0.202208 + 0.350235i
\(41\) 0.741425 + 1.28419i 0.115791 + 0.200556i 0.918096 0.396359i \(-0.129726\pi\)
−0.802305 + 0.596915i \(0.796393\pi\)
\(42\) −0.190561 + 0.0287225i −0.0294043 + 0.00443198i
\(43\) −0.0245740 + 0.250427i −0.00374749 + 0.0381897i −0.996910 0.0785464i \(-0.974972\pi\)
0.993163 + 0.116736i \(0.0372432\pi\)
\(44\) 4.80186 + 5.23526i 0.723907 + 0.789246i
\(45\) 4.83248 3.54510i 0.720383 0.528472i
\(46\) 9.99799 + 2.46428i 1.47412 + 0.363339i
\(47\) −1.44559 + 0.116700i −0.210861 + 0.0170225i −0.185446 0.982655i \(-0.559373\pi\)
−0.0254153 + 0.999677i \(0.508091\pi\)
\(48\) 0.0493616 0.178058i 0.00712473 0.0257005i
\(49\) 3.99938 3.88595i 0.571340 0.555135i
\(50\) −1.16948 1.78059i −0.165390 0.251813i
\(51\) −0.133640 0.0551305i −0.0187134 0.00771982i
\(52\) 0.137654 + 0.0240001i 0.0190892 + 0.00332821i
\(53\) 10.9963 3.81229i 1.51046 0.523659i 0.558397 0.829574i \(-0.311417\pi\)
0.952059 + 0.305915i \(0.0989624\pi\)
\(54\) 0.612314 0.749948i 0.0833254 0.102055i
\(55\) 5.26960 1.49355i 0.710552 0.201390i
\(56\) 0.524230 + 1.43176i 0.0700532 + 0.191327i
\(57\) 0.116679 + 0.420887i 0.0154545 + 0.0557479i
\(58\) 12.5642 + 7.35067i 1.64976 + 0.965190i
\(59\) −2.45271 + 1.04500i −0.319315 + 0.136048i −0.545677 0.837996i \(-0.683727\pi\)
0.226361 + 0.974043i \(0.427317\pi\)
\(60\) 0.290018 + 0.262952i 0.0374411 + 0.0339469i
\(61\) 13.0619 6.10613i 1.67241 0.781810i 0.673310 0.739361i \(-0.264872\pi\)
0.999099 0.0424494i \(-0.0135161\pi\)
\(62\) −16.7707 6.25016i −2.12988 0.793771i
\(63\) 0.225975 3.56558i 0.0284702 0.449221i
\(64\) −11.8179 0.817280i −1.47724 0.102160i
\(65\) 0.0642233 0.0864976i 0.00796592 0.0107287i
\(66\) 0.381480 0.223184i 0.0469570 0.0274721i
\(67\) −4.14008 4.02266i −0.505791 0.491446i 0.399207 0.916861i \(-0.369286\pi\)
−0.904998 + 0.425415i \(0.860128\pi\)
\(68\) −0.940199 + 4.89198i −0.114016 + 0.593240i
\(69\) 0.158880 0.325118i 0.0191269 0.0391397i
\(70\) 5.08611 + 0.587890i 0.607906 + 0.0702663i
\(71\) 1.13510 0.224938i 0.134712 0.0266952i −0.126570 0.991958i \(-0.540397\pi\)
0.261282 + 0.965262i \(0.415855\pi\)
\(72\) −3.38807 1.77820i −0.399288 0.209562i
\(73\) 9.72235 8.41557i 1.13792 0.984968i 0.137931 0.990442i \(-0.455955\pi\)
0.999985 + 0.00547411i \(0.00174247\pi\)
\(74\) 0.222174 0.175096i 0.0258272 0.0203545i
\(75\) −0.0698439 + 0.0269490i −0.00806488 + 0.00311180i
\(76\) 13.4059 6.84035i 1.53776 0.784642i
\(77\) 1.33143 2.98121i 0.151731 0.339740i
\(78\) 0.00326896 0.00805535i 0.000370137 0.000912088i
\(79\) 1.83311 + 1.31259i 0.206241 + 0.147678i 0.680604 0.732651i \(-0.261717\pi\)
−0.474363 + 0.880329i \(0.657322\pi\)
\(80\) −2.50327 + 4.22282i −0.279874 + 0.472125i
\(81\) 5.57958 + 6.99657i 0.619953 + 0.777397i
\(82\) −1.55771 2.77120i −0.172021 0.306028i
\(83\) −5.14940 3.25628i −0.565220 0.357424i 0.221092 0.975253i \(-0.429038\pi\)
−0.786312 + 0.617829i \(0.788012\pi\)
\(84\) 0.231143 0.0321235i 0.0252198 0.00350496i
\(85\) 3.04372 + 2.34249i 0.330138 + 0.254079i
\(86\) 0.0588573 0.536234i 0.00634674 0.0578236i
\(87\) 0.345774 0.376983i 0.0370709 0.0404168i
\(88\) −2.33382 2.60400i −0.248786 0.277587i
\(89\) 0.195723 + 2.26210i 0.0207466 + 0.239783i 0.999411 + 0.0343173i \(0.0109257\pi\)
−0.978664 + 0.205465i \(0.934129\pi\)
\(90\) −10.4468 + 7.48042i −1.10119 + 0.788505i
\(91\) −0.0150101 0.0624426i −0.00157349 0.00654576i
\(92\) −12.0718 3.12322i −1.25857 0.325618i
\(93\) −0.339207 + 0.529641i −0.0351741 + 0.0549213i
\(94\) 3.10179 0.214507i 0.319926 0.0221247i
\(95\) −0.0667657 11.6036i −0.00685002 1.19050i
\(96\) −0.163779 + 0.565430i −0.0167156 + 0.0577090i
\(97\) 0.0826286 + 0.620725i 0.00838966 + 0.0630251i 0.994950 0.100373i \(-0.0320036\pi\)
−0.986560 + 0.163398i \(0.947755\pi\)
\(98\) −8.66935 + 8.23165i −0.875737 + 0.831522i
\(99\) 2.54993 + 7.78686i 0.256278 + 0.782609i
\(100\) 1.39126 + 2.17234i 0.139126 + 0.217234i
\(101\) −8.57707 11.5518i −0.853450 1.14945i −0.987366 0.158455i \(-0.949349\pi\)
0.133916 0.990993i \(-0.457245\pi\)
\(102\) 0.285125 + 0.121480i 0.0282316 + 0.0120283i
\(103\) −2.22395 4.82961i −0.219133 0.475876i 0.767039 0.641600i \(-0.221729\pi\)
−0.986172 + 0.165724i \(0.947004\pi\)
\(104\) −0.0676177 0.0125926i −0.00663046 0.00123480i
\(105\) 0.0579576 0.170335i 0.00565609 0.0166230i
\(106\) −23.6668 + 7.90114i −2.29872 + 0.767426i
\(107\) −19.1314 + 4.71546i −1.84950 + 0.455861i −0.997686 0.0679859i \(-0.978343\pi\)
−0.851813 + 0.523846i \(0.824497\pi\)
\(108\) −0.751876 + 0.899549i −0.0723493 + 0.0865592i
\(109\) 4.28894 + 8.28742i 0.410805 + 0.793791i 0.999898 0.0142749i \(-0.00454400\pi\)
−0.589093 + 0.808066i \(0.700515\pi\)
\(110\) −11.3333 + 3.07172i −1.08059 + 0.292877i
\(111\) −0.00436464 0.00893143i −0.000414273 0.000847734i
\(112\) 0.974451 + 2.75933i 0.0920770 + 0.260732i
\(113\) 0.416517 + 14.4739i 0.0391826 + 1.36159i 0.751501 + 0.659732i \(0.229330\pi\)
−0.712318 + 0.701857i \(0.752355\pi\)
\(114\) −0.239741 0.905135i −0.0224538 0.0847736i
\(115\) −6.33368 + 7.23266i −0.590618 + 0.674449i
\(116\) −15.1111 9.07570i −1.40303 0.842658i
\(117\) 0.133162 + 0.0907886i 0.0123109 + 0.00839341i
\(118\) 5.28365 2.17966i 0.486400 0.200654i
\(119\) 2.23503 0.496618i 0.204885 0.0455249i
\(120\) −0.141258 0.131068i −0.0128950 0.0119648i
\(121\) 0.141414 3.50914i 0.0128558 0.319013i
\(122\) −28.1515 + 12.7675i −2.54872 + 1.15591i
\(123\) −0.106753 + 0.0329289i −0.00962557 + 0.00296909i
\(124\) 20.2199 + 7.80176i 1.81580 + 0.700619i
\(125\) 11.9325 1.24028i 1.06728 0.110934i
\(126\) −0.572386 + 7.63797i −0.0509922 + 0.680444i
\(127\) −2.22331 + 6.07224i −0.197287 + 0.538824i −0.998201 0.0599552i \(-0.980904\pi\)
0.800914 + 0.598780i \(0.204347\pi\)
\(128\) 9.73726 + 0.786073i 0.860660 + 0.0694797i
\(129\) −0.0179818 0.00600321i −0.00158321 0.000528553i
\(130\) −0.139810 + 0.183841i −0.0122621 + 0.0161239i
\(131\) −5.69327 1.19645i −0.497423 0.104535i −0.0498043 0.998759i \(-0.515860\pi\)
−0.447619 + 0.894224i \(0.647728\pi\)
\(132\) −0.465029 + 0.264929i −0.0404756 + 0.0230591i
\(133\) −5.33281 4.40548i −0.462413 0.382004i
\(134\) 8.77586 + 8.72551i 0.758119 + 0.753769i
\(135\) 0.359086 + 0.829537i 0.0309052 + 0.0713952i
\(136\) 0.490476 2.40251i 0.0420580 0.206014i
\(137\) −2.08642 + 0.0480281i −0.178255 + 0.00410331i −0.112049 0.993703i \(-0.535741\pi\)
−0.0662057 + 0.997806i \(0.521089\pi\)
\(138\) −0.348611 + 0.693037i −0.0296758 + 0.0589952i
\(139\) −4.78069 2.16818i −0.405493 0.183902i 0.199923 0.979812i \(-0.435931\pi\)
−0.605416 + 0.795909i \(0.706993\pi\)
\(140\) −6.15037 0.782726i −0.519801 0.0661524i
\(141\) 0.0156629 0.108135i 0.00131905 0.00910658i
\(142\) −2.43887 + 0.454196i −0.204666 + 0.0381153i
\(143\) 0.0850571 + 0.120243i 0.00711283 + 0.0100552i
\(144\) −6.46292 3.48744i −0.538577 0.290620i
\(145\) −11.4866 + 7.26368i −0.953910 + 0.603216i
\(146\) −21.0494 + 17.8006i −1.74206 + 1.47319i
\(147\) 0.218375 + 0.358899i 0.0180112 + 0.0296015i
\(148\) −0.271461 + 0.208921i −0.0223140 + 0.0171732i
\(149\) −6.16199 + 6.26929i −0.504810 + 0.513600i −0.917750 0.397158i \(-0.869996\pi\)
0.412940 + 0.910758i \(0.364502\pi\)
\(150\) 0.150389 0.0560475i 0.0122792 0.00457626i
\(151\) 1.94071 + 6.42260i 0.157933 + 0.522663i 0.999857 0.0169327i \(-0.00539011\pi\)
−0.841924 + 0.539596i \(0.818577\pi\)
\(152\) −6.63712 + 3.29089i −0.538342 + 0.266926i
\(153\) −3.31814 + 4.69076i −0.268256 + 0.379226i
\(154\) −2.92774 + 6.35797i −0.235924 + 0.512340i
\(155\) 12.3792 11.2239i 0.994319 0.901524i
\(156\) −0.00407050 + 0.00970834i −0.000325901 + 0.000777289i
\(157\) −3.67700 4.39918i −0.293456 0.351093i 0.600196 0.799853i \(-0.295089\pi\)
−0.893652 + 0.448760i \(0.851866\pi\)
\(158\) −3.89726 2.85902i −0.310049 0.227452i
\(159\) 0.0956656 + 0.871585i 0.00758677 + 0.0691212i
\(160\) 8.12948 13.3608i 0.642692 1.05627i
\(161\) 0.886749 + 5.66195i 0.0698856 + 0.446224i
\(162\) −11.7883 15.1362i −0.926180 1.18921i
\(163\) −4.72867 + 15.0225i −0.370378 + 1.17666i 0.565624 + 0.824663i \(0.308635\pi\)
−0.936002 + 0.351994i \(0.885504\pi\)
\(164\) 1.84756 + 3.37724i 0.144270 + 0.263718i
\(165\) 0.0213589 + 0.412089i 0.00166279 + 0.0320811i
\(166\) 10.9584 + 7.10754i 0.850540 + 0.551652i
\(167\) 0.401994 23.2862i 0.0311072 1.80194i −0.417988 0.908453i \(-0.637264\pi\)
0.449095 0.893484i \(-0.351746\pi\)
\(168\) −0.113951 + 0.0145019i −0.00879149 + 0.00111885i
\(169\) −12.4197 3.83096i −0.955360 0.294689i
\(170\) −6.46704 5.09670i −0.496000 0.390899i
\(171\) 17.3406 0.798764i 1.32607 0.0610830i
\(172\) −0.0787402 + 0.648484i −0.00600388 + 0.0494464i
\(173\) 12.8822 8.56745i 0.979414 0.651371i 0.0418278 0.999125i \(-0.486682\pi\)
0.937586 + 0.347754i \(0.113056\pi\)
\(174\) −0.750537 + 0.799609i −0.0568980 + 0.0606182i
\(175\) 0.662242 0.983441i 0.0500608 0.0743411i
\(176\) −4.42143 5.04899i −0.333278 0.380582i
\(177\) −0.0356368 0.197670i −0.00267863 0.0148578i
\(178\) −0.363765 4.85410i −0.0272653 0.363830i
\(179\) −1.77796 0.503923i −0.132891 0.0376650i 0.205590 0.978638i \(-0.434089\pi\)
−0.338481 + 0.940973i \(0.609913\pi\)
\(180\) 12.7539 8.91216i 0.950619 0.664273i
\(181\) 0.817937 + 4.00652i 0.0607968 + 0.297802i 0.998809 0.0488011i \(-0.0155401\pi\)
−0.938012 + 0.346604i \(0.887335\pi\)
\(182\) 0.0306368 + 0.134229i 0.00227095 + 0.00994968i
\(183\) 0.229518 + 1.06176i 0.0169665 + 0.0784876i
\(184\) 5.92407 + 1.60563i 0.436728 + 0.118369i
\(185\) 0.0498468 + 0.259360i 0.00366481 + 0.0190685i
\(186\) 0.740224 1.12702i 0.0542759 0.0826375i
\(187\) −4.33845 + 2.95791i −0.317259 + 0.216303i
\(188\) −3.75882 + 0.216515i −0.274140 + 0.0157910i
\(189\) 0.516695 + 0.152890i 0.0375840 + 0.0111211i
\(190\) −0.143135 + 24.8762i −0.0103841 + 1.80471i
\(191\) 0.932646 + 14.7159i 0.0674839 + 1.06480i 0.877867 + 0.478904i \(0.158966\pi\)
−0.810383 + 0.585900i \(0.800741\pi\)
\(192\) 0.258150 0.854323i 0.0186304 0.0616554i
\(193\) −1.30286 7.73547i −0.0937822 0.556811i −0.992885 0.119074i \(-0.962007\pi\)
0.899103 0.437737i \(-0.144220\pi\)
\(194\) −0.161818 1.33269i −0.0116178 0.0956814i
\(195\) 0.00527656 + 0.00616727i 0.000377862 + 0.000441647i
\(196\) 10.6121 9.84656i 0.758005 0.703326i
\(197\) 10.1637 14.7246i 0.724131 1.04909i −0.272093 0.962271i \(-0.587716\pi\)
0.996225 0.0868143i \(-0.0276687\pi\)
\(198\) −5.27419 16.7556i −0.374820 1.19077i
\(199\) −8.29266 + 8.63357i −0.587851 + 0.612018i −0.946989 0.321267i \(-0.895891\pi\)
0.359138 + 0.933285i \(0.383071\pi\)
\(200\) −0.672476 1.07711i −0.0475513 0.0761629i
\(201\) 0.364869 0.236650i 0.0257359 0.0166920i
\(202\) 18.1017 + 24.9752i 1.27363 + 1.75725i
\(203\) −1.06901 + 8.03067i −0.0750300 + 0.563643i
\(204\) −0.343553 0.151069i −0.0240535 0.0105769i
\(205\) 2.96627 0.102445i 0.207174 0.00715509i
\(206\) 4.64835 + 10.4081i 0.323866 + 0.725167i
\(207\) −11.1927 9.03170i −0.777944 0.627747i
\(208\) −0.129490 0.0256603i −0.00897851 0.00177922i
\(209\) 15.1043 + 4.85009i 1.04478 + 0.335488i
\(210\) −0.128446 + 0.363718i −0.00886362 + 0.0250989i
\(211\) 3.68519 0.425961i 0.253699 0.0293244i 0.0129667 0.999916i \(-0.495872\pi\)
0.240732 + 0.970592i \(0.422612\pi\)
\(212\) 28.7673 9.23738i 1.97574 0.634426i
\(213\) −0.00250775 + 0.0871441i −0.000171829 + 0.00597102i
\(214\) 41.1283 9.63656i 2.81147 0.658742i
\(215\) 0.419378 + 0.278912i 0.0286013 + 0.0190217i
\(216\) 0.375169 0.438500i 0.0255270 0.0298361i
\(217\) −0.401088 9.95290i −0.0272276 0.675647i
\(218\) −8.98975 17.8716i −0.608862 1.21041i
\(219\) 0.455132 + 0.855187i 0.0307549 + 0.0577882i
\(220\) 13.7658 3.56149i 0.928092 0.240116i
\(221\) −0.0321418 + 0.0981530i −0.00216209 + 0.00660248i
\(222\) 0.00913614 + 0.0192540i 0.000613177 + 0.00129224i
\(223\) −11.8366 15.5644i −0.792640 1.04227i −0.997977 0.0635798i \(-0.979748\pi\)
0.205336 0.978691i \(-0.434171\pi\)
\(224\) −3.00314 8.82611i −0.200656 0.589719i
\(225\) 0.426525 + 2.94468i 0.0284350 + 0.196312i
\(226\) −0.535815 31.0380i −0.0356419 2.06461i
\(227\) −15.0367 + 24.0843i −0.998020 + 1.59853i −0.214924 + 0.976631i \(0.568950\pi\)
−0.783097 + 0.621900i \(0.786361\pi\)
\(228\) 0.277680 + 1.09933i 0.0183898 + 0.0728050i
\(229\) 1.99848 + 20.3660i 0.132064 + 1.34583i 0.799279 + 0.600961i \(0.205215\pi\)
−0.667215 + 0.744865i \(0.732514\pi\)
\(230\) 13.7559 15.3484i 0.907040 1.01204i
\(231\) 0.196648 + 0.147772i 0.0129385 + 0.00972266i
\(232\) 7.38627 + 4.55266i 0.484933 + 0.298897i
\(233\) 14.0356 + 17.1905i 0.919501 + 1.12618i 0.991672 + 0.128792i \(0.0411100\pi\)
−0.0721704 + 0.997392i \(0.522993\pi\)
\(234\) −0.283221 0.197909i −0.0185147 0.0129377i
\(235\) −1.15318 + 2.66400i −0.0752250 + 0.173780i
\(236\) −6.42814 + 2.56564i −0.418436 + 0.167009i
\(237\) −0.127140 + 0.112637i −0.00825865 + 0.00731653i
\(238\) −4.80349 + 1.00946i −0.311364 + 0.0654338i
\(239\) 3.73039 7.86163i 0.241299 0.508527i −0.746284 0.665628i \(-0.768164\pi\)
0.987582 + 0.157102i \(0.0502150\pi\)
\(240\) −0.268199 0.254658i −0.0173122 0.0164381i
\(241\) −11.6644 + 16.0936i −0.751373 + 1.03668i 0.246346 + 0.969182i \(0.420770\pi\)
−0.997719 + 0.0675008i \(0.978497\pi\)
\(242\) −0.389720 + 7.51907i −0.0250521 + 0.483344i
\(243\) −1.82808 + 0.880356i −0.117271 + 0.0564749i
\(244\) 34.2654 15.0673i 2.19362 0.964588i
\(245\) −3.10532 10.7208i −0.198392 0.684928i
\(246\) 0.229658 0.0679560i 0.0146425 0.00433272i
\(247\) 0.293624 0.105597i 0.0186829 0.00671896i
\(248\) −9.90805 3.95456i −0.629162 0.251115i
\(249\) 0.325500 0.323632i 0.0206277 0.0205094i
\(250\) −25.6104 + 2.36441i −1.61974 + 0.149539i
\(251\) 2.71116 2.03730i 0.171127 0.128593i −0.511728 0.859147i \(-0.670994\pi\)
0.682855 + 0.730554i \(0.260738\pi\)
\(252\) 0.799513 9.24053i 0.0503646 0.582098i
\(253\) −6.70227 11.3062i −0.421368 0.710814i
\(254\) 4.91592 12.9622i 0.308452 0.813322i
\(255\) −0.223082 + 0.184290i −0.0139699 + 0.0115407i
\(256\) 2.73759 + 0.252741i 0.171100 + 0.0157963i
\(257\) −9.31106 + 5.73904i −0.580808 + 0.357991i −0.783633 0.621224i \(-0.786636\pi\)
0.202826 + 0.979215i \(0.434988\pi\)
\(258\) 0.0383995 + 0.0133127i 0.00239065 + 0.000828813i
\(259\) 0.137683 + 0.0763535i 0.00855522 + 0.00474438i
\(260\) 0.171851 0.220657i 0.0106578 0.0136846i
\(261\) −11.5494 16.7322i −0.714892 1.03570i
\(262\) 12.1752 + 2.70529i 0.752183 + 0.167133i
\(263\) 2.01011 0.350463i 0.123949 0.0216105i −0.109444 0.993993i \(-0.534907\pi\)
0.233393 + 0.972382i \(0.425017\pi\)
\(264\) 0.230388 0.127764i 0.0141794 0.00786334i
\(265\) 3.60444 23.0146i 0.221419 1.41377i
\(266\) 11.3233 + 9.57560i 0.694274 + 0.587118i
\(267\) −0.169432 0.0235471i −0.0103691 0.00144106i
\(268\) −10.5047 10.6877i −0.641679 0.652852i
\(269\) 20.4565 + 9.56290i 1.24725 + 0.583060i 0.930793 0.365546i \(-0.119118\pi\)
0.316459 + 0.948606i \(0.397506\pi\)
\(270\) −0.749308 1.78714i −0.0456015 0.108762i
\(271\) −7.00496 + 13.5355i −0.425521 + 0.822225i 0.574472 + 0.818524i \(0.305207\pi\)
−0.999993 + 0.00370063i \(0.998822\pi\)
\(272\) 0.994356 4.59993i 0.0602917 0.278912i
\(273\) 0.00483803 5.56769e-5i 0.000292811 3.36972e-6i
\(274\) 4.47384 0.0514857i 0.270275 0.00311037i
\(275\) −0.574519 + 2.65775i −0.0346448 + 0.160268i
\(276\) 0.431777 0.834313i 0.0259899 0.0502197i
\(277\) −8.87638 21.1706i −0.533330 1.27202i −0.934483 0.356007i \(-0.884138\pi\)
0.401153 0.916011i \(-0.368609\pi\)
\(278\) 10.1949 + 4.76586i 0.611449 + 0.285837i
\(279\) 17.5228 + 17.8279i 1.04906 + 1.06733i
\(280\) 3.02278 + 0.420096i 0.180646 + 0.0251055i
\(281\) −9.09802 7.69381i −0.542742 0.458974i 0.332195 0.943211i \(-0.392211\pi\)
−0.874937 + 0.484237i \(0.839097\pi\)
\(282\) −0.0362443 + 0.231422i −0.00215831 + 0.0137810i
\(283\) 3.12886 1.73514i 0.185992 0.103144i −0.389232 0.921140i \(-0.627259\pi\)
0.575223 + 0.817996i \(0.304915\pi\)
\(284\) 2.95946 0.515983i 0.175612 0.0306179i
\(285\) 0.853398 + 0.189623i 0.0505509 + 0.0112323i
\(286\) −0.179371 0.259863i −0.0106064 0.0153660i
\(287\) 1.08714 1.39589i 0.0641721 0.0823968i
\(288\) 20.4610 + 11.3469i 1.20568 + 0.668621i
\(289\) 12.5832 + 4.36245i 0.740187 + 0.256615i
\(290\) 24.8030 15.2878i 1.45648 0.897730i
\(291\) −0.0469773 0.00433705i −0.00275386 0.000254243i
\(292\) 25.7360 21.2607i 1.50608 1.24419i
\(293\) −8.66635 + 22.8513i −0.506294 + 1.33499i 0.401611 + 0.915810i \(0.368450\pi\)
−0.907905 + 0.419176i \(0.862319\pi\)
\(294\) −0.459276 0.774760i −0.0267855 0.0451849i
\(295\) −0.459991 + 5.31644i −0.0267817 + 0.309535i
\(296\) 0.134797 0.101293i 0.00783491 0.00588755i
\(297\) −1.23055 + 0.113607i −0.0714036 + 0.00659214i
\(298\) 13.3641 13.2875i 0.774164 0.769722i
\(299\) −0.240107 0.0958331i −0.0138858 0.00554217i
\(300\) −0.182881 + 0.0657700i −0.0105587 + 0.00379723i
\(301\) 0.287897 0.0851890i 0.0165941 0.00491021i
\(302\) −4.00185 13.8160i −0.230281 0.795022i
\(303\) 0.992267 0.436324i 0.0570042 0.0250662i
\(304\) −12.8103 + 6.16910i −0.734719 + 0.353822i
\(305\) 1.49384 28.8215i 0.0855371 1.65031i
\(306\) 7.22883 9.97374i 0.413244 0.570161i
\(307\) −3.81294 3.62043i −0.217616 0.206629i 0.571960 0.820281i \(-0.306183\pi\)
−0.789576 + 0.613653i \(0.789700\pi\)
\(308\) 3.63368 7.65782i 0.207048 0.436345i
\(309\) 0.392017 0.0823832i 0.0223011 0.00468662i
\(310\) −26.8141 + 23.7553i −1.52294 + 1.34921i
\(311\) 2.38461 0.951761i 0.135219 0.0539694i −0.302098 0.953277i \(-0.597687\pi\)
0.437317 + 0.899307i \(0.355929\pi\)
\(312\) 0.00205849 0.00475539i 0.000116539 0.000269221i
\(313\) 12.9620 + 9.05758i 0.732655 + 0.511964i 0.878736 0.477308i \(-0.158387\pi\)
−0.146081 + 0.989273i \(0.546666\pi\)
\(314\) 7.77385 + 9.52124i 0.438704 + 0.537315i
\(315\) −6.08763 3.75222i −0.342999 0.211414i
\(316\) 4.67919 + 3.51618i 0.263225 + 0.197801i
\(317\) −13.0929 + 14.6086i −0.735372 + 0.820503i −0.989173 0.146753i \(-0.953118\pi\)
0.253801 + 0.967256i \(0.418319\pi\)
\(318\) −0.183576 1.87078i −0.0102944 0.104908i
\(319\) −4.55023 18.0143i −0.254764 1.00861i
\(320\) −12.5572 + 20.1129i −0.701969 + 1.12435i
\(321\) −0.0256229 1.48425i −0.00143013 0.0828425i
\(322\) −1.76124 12.1594i −0.0981503 0.677618i
\(323\) 3.58336 + 10.5313i 0.199383 + 0.585979i
\(324\) 14.0631 + 18.4921i 0.781284 + 1.02734i
\(325\) 0.0229282 + 0.0483203i 0.00127183 + 0.00268033i
\(326\) 10.5075 32.0872i 0.581955 1.77715i
\(327\) −0.680610 + 0.176087i −0.0376378 + 0.00973766i
\(328\) −0.890238 1.67275i −0.0491552 0.0923620i
\(329\) 0.777611 + 1.54589i 0.0428711 + 0.0852274i
\(330\) −0.0356209 0.883923i −0.00196086 0.0486583i
\(331\) 0.351318 0.410623i 0.0193102 0.0225699i −0.750106 0.661317i \(-0.769998\pi\)
0.769416 + 0.638747i \(0.220547\pi\)
\(332\) −13.1701 8.75893i −0.722803 0.480709i
\(333\) −0.384680 + 0.0901324i −0.0210803 + 0.00493922i
\(334\) −1.43623 + 49.9086i −0.0785868 + 2.73088i
\(335\) −11.0009 + 3.53247i −0.601044 + 0.193000i
\(336\) −0.219008 + 0.0253146i −0.0119479 + 0.00138102i
\(337\) 2.14297 6.06820i 0.116735 0.330556i −0.869964 0.493116i \(-0.835858\pi\)
0.986699 + 0.162560i \(0.0519751\pi\)
\(338\) 26.5296 + 8.51884i 1.44302 + 0.463364i
\(339\) −1.07009 0.212053i −0.0581191 0.0115172i
\(340\) 7.75966 + 6.26150i 0.420827 + 0.339578i
\(341\) 9.31574 + 20.8589i 0.504475 + 1.12957i
\(342\) −37.1928 + 1.28452i −2.01116 + 0.0694587i
\(343\) −13.7363 6.04021i −0.741693 0.326140i
\(344\) 0.0424292 0.318738i 0.00228763 0.0171852i
\(345\) −0.425057 0.586458i −0.0228843 0.0315738i
\(346\) −27.8269 + 18.0482i −1.49598 + 0.970280i
\(347\) −1.75278 2.80743i −0.0940940 0.150711i 0.797851 0.602855i \(-0.205970\pi\)
−0.891945 + 0.452145i \(0.850659\pi\)
\(348\) 0.919937 0.957755i 0.0493138 0.0513411i
\(349\) −0.801734 2.54703i −0.0429158 0.136340i 0.929964 0.367651i \(-0.119838\pi\)
−0.972880 + 0.231311i \(0.925699\pi\)
\(350\) −1.44391 + 2.09187i −0.0771803 + 0.111815i
\(351\) −0.0178185 + 0.0165331i −0.000951079 + 0.000882472i
\(352\) 13.9002 + 16.2467i 0.740884 + 0.865950i
\(353\) 2.83948 + 23.3853i 0.151130 + 1.24467i 0.848979 + 0.528426i \(0.177218\pi\)
−0.697849 + 0.716245i \(0.745859\pi\)
\(354\) 0.0715182 + 0.424624i 0.00380115 + 0.0225685i
\(355\) 0.669960 2.21717i 0.0355578 0.117675i
\(356\) 0.372827 + 5.88271i 0.0197598 + 0.311783i
\(357\) −0.000992477 0.172488i −5.25275e−5 0.00912902i
\(358\) 3.79899 + 1.12412i 0.200783 + 0.0594117i
\(359\) −5.83910 + 0.336343i −0.308176 + 0.0177515i −0.210905 0.977506i \(-0.567641\pi\)
−0.0972703 + 0.995258i \(0.531011\pi\)
\(360\) −6.32796 + 4.31433i −0.333513 + 0.227385i
\(361\) 8.01980 12.2105i 0.422095 0.642659i
\(362\) −1.65457 8.60897i −0.0869624 0.452477i
\(363\) 0.255375 + 0.0692156i 0.0134037 + 0.00363288i
\(364\) −0.0352264 0.162959i −0.00184636 0.00854136i
\(365\) −5.72717 25.0924i −0.299774 1.31340i
\(366\) −0.465825 2.28176i −0.0243490 0.119270i
\(367\) −15.1034 + 10.5539i −0.788391 + 0.550912i −0.896404 0.443238i \(-0.853830\pi\)
0.108013 + 0.994150i \(0.465551\pi\)
\(368\) 11.3337 + 3.21227i 0.590808 + 0.167451i
\(369\) 0.331812 + 4.42772i 0.0172734 + 0.230498i
\(370\) −0.100458 0.557219i −0.00522257 0.0289684i
\(371\) −9.14853 10.4470i −0.474968 0.542383i
\(372\) −0.912012 + 1.35435i −0.0472856 + 0.0702200i
\(373\) 8.75184 9.32406i 0.453153 0.482781i −0.461432 0.887176i \(-0.652664\pi\)
0.914585 + 0.404394i \(0.132518\pi\)
\(374\) 9.37331 6.23384i 0.484683 0.322344i
\(375\) −0.108944 + 0.897235i −0.00562585 + 0.0463330i
\(376\) 1.85132 0.0852778i 0.0954747 0.00439787i
\(377\) −0.287036 0.226214i −0.0147831 0.0116506i
\(378\) −1.10387 0.340498i −0.0567768 0.0175133i
\(379\) 23.6272 3.00691i 1.21365 0.154455i 0.506953 0.861973i \(-0.330772\pi\)
0.706695 + 0.707519i \(0.250186\pi\)
\(380\) 0.519961 30.1196i 0.0266734 1.54510i
\(381\) −0.408732 0.265099i −0.0209400 0.0135815i
\(382\) −1.63627 31.5695i −0.0837189 1.61523i
\(383\) 13.9014 + 25.4110i 0.710327 + 1.29844i 0.945224 + 0.326423i \(0.105843\pi\)
−0.234897 + 0.972020i \(0.575475\pi\)
\(384\) −0.220976 + 0.702021i −0.0112767 + 0.0358249i
\(385\) −4.01555 5.15596i −0.204652 0.262772i
\(386\) 2.60212 + 16.6147i 0.132444 + 0.845665i
\(387\) −0.391647 + 0.643673i −0.0199085 + 0.0327198i
\(388\) 0.177368 + 1.61595i 0.00900448 + 0.0820376i
\(389\) −15.7034 11.5200i −0.796194 0.584087i 0.116283 0.993216i \(-0.462902\pi\)
−0.912476 + 0.409129i \(0.865833\pi\)
\(390\) −0.0111592 0.0133510i −0.000565069 0.000676052i
\(391\) 3.56376 8.49976i 0.180227 0.429851i
\(392\) −5.27904 + 4.78637i −0.266632 + 0.241748i
\(393\) 0.183324 0.398111i 0.00924745 0.0200821i
\(394\) −22.1511 + 31.3144i −1.11596 + 1.57760i
\(395\) 4.04304 2.00466i 0.203427 0.100865i
\(396\) 6.15282 + 20.3622i 0.309191 + 1.02324i
\(397\) −17.4913 + 6.51869i −0.877862 + 0.327164i −0.747468 0.664298i \(-0.768730\pi\)
−0.130394 + 0.991462i \(0.541624\pi\)
\(398\) 17.9900 18.3032i 0.901756 0.917458i
\(399\) 0.412983 0.317838i 0.0206750 0.0159118i
\(400\) −1.26679 2.08197i −0.0633395 0.104099i
\(401\) −16.1907 + 13.6918i −0.808523 + 0.683733i −0.952060 0.305912i \(-0.901039\pi\)
0.143537 + 0.989645i \(0.454152\pi\)
\(402\) −0.788009 + 0.498306i −0.0393023 + 0.0248533i
\(403\) 0.395444 + 0.213384i 0.0196984 + 0.0106294i
\(404\) −21.5706 30.4937i −1.07318 1.51712i
\(405\) 17.6093 3.27941i 0.875011 0.162955i
\(406\) 2.48976 17.1890i 0.123565 0.853075i
\(407\) −0.358179 0.0455836i −0.0177543 0.00225949i
\(408\) 0.168241 + 0.0763021i 0.00832919 + 0.00377752i
\(409\) 2.29836 4.56912i 0.113646 0.225928i −0.829351 0.558727i \(-0.811290\pi\)
0.942998 + 0.332799i \(0.107993\pi\)
\(410\) −6.36133 + 0.146434i −0.314164 + 0.00723186i
\(411\) 0.0314499 0.154052i 0.00155131 0.00759882i
\(412\) −5.48346 12.6675i −0.270151 0.624084i
\(413\) 2.25580 + 2.24286i 0.111001 + 0.110364i
\(414\) 23.7709 + 19.6374i 1.16828 + 0.965125i
\(415\) −10.5959 + 6.03654i −0.520133 + 0.296322i
\(416\) 0.411575 + 0.0864933i 0.0201791 + 0.00424068i
\(417\) 0.239398 0.314792i 0.0117233 0.0154154i
\(418\) −32.2594 10.7698i −1.57786 0.526766i
\(419\) 15.5583 + 1.25600i 0.760073 + 0.0613594i 0.454425 0.890785i \(-0.349845\pi\)
0.305648 + 0.952145i \(0.401127\pi\)
\(420\) 0.160598 0.438621i 0.00783640 0.0214025i
\(421\) −0.262706 + 3.50557i −0.0128035 + 0.170851i 0.987136 + 0.159881i \(0.0511110\pi\)
−0.999940 + 0.0109702i \(0.996508\pi\)
\(422\) −7.91046 + 0.822220i −0.385075 + 0.0400251i
\(423\) −4.05152 1.56326i −0.196992 0.0760084i
\(424\) −14.2116 + 4.38370i −0.690176 + 0.212891i
\(425\) −1.73651 + 0.787553i −0.0842329 + 0.0382019i
\(426\) 0.00752573 0.186749i 0.000364623 0.00904802i
\(427\) −12.6114 11.7016i −0.610307 0.566282i
\(428\) −49.9348 + 11.0954i −2.41369 + 0.536317i
\(429\) −0.0102577 + 0.00423162i −0.000495249 + 0.000204305i
\(430\) −0.892140 0.608251i −0.0430228 0.0293325i
\(431\) −21.4237 12.8670i −1.03194 0.619784i −0.104799 0.994493i \(-0.533420\pi\)
−0.927142 + 0.374710i \(0.877742\pi\)
\(432\) 0.729689 0.833259i 0.0351072 0.0400902i
\(433\) 2.59665 + 9.80356i 0.124787 + 0.471129i 0.999919 0.0127560i \(-0.00406046\pi\)
−0.875132 + 0.483885i \(0.839225\pi\)
\(434\) 0.614274 + 21.3459i 0.0294861 + 1.02464i
\(435\) −0.340949 0.965459i −0.0163473 0.0462902i
\(436\) 10.6363 + 21.7652i 0.509385 + 1.04236i
\(437\) −26.8757 + 7.28425i −1.28564 + 0.348453i
\(438\) −0.954569 1.84449i −0.0456111 0.0881333i
\(439\) −20.2923 + 24.2779i −0.968501 + 1.15872i 0.0187942 + 0.999823i \(0.494017\pi\)
−0.987295 + 0.158897i \(0.949206\pi\)
\(440\) −6.79572 + 1.67499i −0.323973 + 0.0798522i
\(441\) 15.8381 5.28753i 0.754195 0.251787i
\(442\) 0.0713238 0.209618i 0.00339253 0.00997050i
\(443\) −13.1063 2.44081i −0.622698 0.115966i −0.137689 0.990476i \(-0.543967\pi\)
−0.485009 + 0.874509i \(0.661184\pi\)
\(444\) −0.0107943 0.0234412i −0.000512274 0.00111247i
\(445\) 4.18103 + 1.78137i 0.198200 + 0.0844450i
\(446\) 24.9903 + 33.6575i 1.18332 + 1.59373i
\(447\) −0.357175 0.557698i −0.0168938 0.0263782i
\(448\) 4.39872 + 13.4326i 0.207820 + 0.634630i
\(449\) −17.3110 + 16.4370i −0.816957 + 0.775710i −0.977414 0.211333i \(-0.932220\pi\)
0.160457 + 0.987043i \(0.448703\pi\)
\(450\) −0.841698 6.32303i −0.0396780 0.298071i
\(451\) −1.12892 + 3.89750i −0.0531590 + 0.183526i
\(452\) 0.216289 + 37.5901i 0.0101734 + 1.76809i
\(453\) −0.504273 + 0.0348735i −0.0236928 + 0.00163850i
\(454\) 32.8283 51.2586i 1.54071 2.40568i
\(455\) −0.124447 0.0321968i −0.00583414 0.00150941i
\(456\) −0.130447 0.542665i −0.00610876 0.0254126i
\(457\) −11.2087 + 8.02594i −0.524321 + 0.375438i −0.813251 0.581912i \(-0.802305\pi\)
0.288931 + 0.957350i \(0.406700\pi\)
\(458\) −3.78172 43.7080i −0.176708 2.04234i
\(459\) −0.578365 0.645320i −0.0269958 0.0301210i
\(460\) −16.8704 + 18.3931i −0.786586 + 0.857582i
\(461\) 2.48954 22.6816i 0.115950 1.05639i −0.784110 0.620621i \(-0.786880\pi\)
0.900060 0.435766i \(-0.143522\pi\)
\(462\) −0.417910 0.321630i −0.0194429 0.0149636i
\(463\) −22.8548 + 3.17628i −1.06215 + 0.147614i −0.647270 0.762261i \(-0.724089\pi\)
−0.414883 + 0.909875i \(0.636177\pi\)
\(464\) 14.0748 + 8.90034i 0.653405 + 0.413188i
\(465\) 0.616861 + 1.09741i 0.0286063 + 0.0508911i
\(466\) −29.6640 37.1975i −1.37416 1.72314i
\(467\) 2.85785 4.82095i 0.132245 0.223087i −0.786829 0.617171i \(-0.788279\pi\)
0.919075 + 0.394084i \(0.128938\pi\)
\(468\) 0.340183 + 0.243586i 0.0157249 + 0.0112598i
\(469\) −2.58993 + 6.38210i −0.119592 + 0.294698i
\(470\) 2.53779 5.68236i 0.117060 0.262108i
\(471\) 0.384761 0.196325i 0.0177289 0.00904616i
\(472\) 3.17847 1.22640i 0.146301 0.0564495i
\(473\) −0.540803 + 0.426209i −0.0248661 + 0.0195971i
\(474\) 0.275330 0.238323i 0.0126463 0.0109465i
\(475\) 5.10082 + 2.67712i 0.234042 + 0.122835i
\(476\) 5.83041 1.15538i 0.267237 0.0529569i
\(477\) 34.6186 + 4.00147i 1.58508 + 0.183215i
\(478\) −8.19079 + 16.7610i −0.374638 + 0.766628i
\(479\) 3.35119 17.4367i 0.153120 0.796703i −0.821045 0.570864i \(-0.806608\pi\)
0.974165 0.225839i \(-0.0725125\pi\)
\(480\) 0.845063 + 0.821095i 0.0385717 + 0.0374777i
\(481\) −0.00613001 + 0.00358635i −0.000279505 + 0.000163524i
\(482\) 25.4021 34.2122i 1.15703 1.55832i
\(483\) −0.430735 0.0297879i −0.0195991 0.00135539i
\(484\) 0.576672 9.09910i 0.0262124 0.413596i
\(485\) 1.17448 + 0.437708i 0.0533303 + 0.0198753i
\(486\) 3.94057 1.84212i 0.178748 0.0835604i
\(487\) 0.0147397 + 0.0133641i 0.000667918 + 0.000605584i 0.672026 0.740527i \(-0.265424\pi\)
−0.671358 + 0.741133i \(0.734289\pi\)
\(488\) −16.9508 + 7.22207i −0.767327 + 0.326928i
\(489\) −1.02413 0.599164i −0.0463127 0.0270951i
\(490\) 6.39240 + 23.0589i 0.288779 + 1.04169i
\(491\) 8.47786 + 23.1545i 0.382600 + 1.04495i 0.971562 + 0.236785i \(0.0760936\pi\)
−0.588962 + 0.808161i \(0.700463\pi\)
\(492\) −0.279031 + 0.0790850i −0.0125797 + 0.00356543i
\(493\) 8.24011 10.0923i 0.371116 0.454534i
\(494\) −0.632047 + 0.219124i −0.0284372 + 0.00985886i
\(495\) 16.1567 + 2.81692i 0.726189 + 0.126611i
\(496\) −18.9276 7.80820i −0.849876 0.350599i
\(497\) −0.757974 1.15405i −0.0339998 0.0517662i
\(498\) −0.705759 + 0.685741i −0.0316258 + 0.0307288i
\(499\) −4.94987 + 17.8553i −0.221587 + 0.799314i 0.766080 + 0.642745i \(0.222205\pi\)
−0.987667 + 0.156569i \(0.949957\pi\)
\(500\) 31.0435 2.50609i 1.38831 0.112076i
\(501\) 1.70362 + 0.419905i 0.0761123 + 0.0187600i
\(502\) −5.86217 + 4.30049i −0.261642 + 0.191940i
\(503\) −19.6934 21.4708i −0.878083 0.957338i 0.121294 0.992617i \(-0.461296\pi\)
−0.999378 + 0.0352789i \(0.988768\pi\)
\(504\) −0.445862 + 4.54366i −0.0198603 + 0.202391i
\(505\) −28.4768 + 4.29218i −1.26720 + 0.191000i
\(506\) 14.0888 + 24.4024i 0.626321 + 1.08482i
\(507\) 0.489592 0.847998i 0.0217435 0.0376609i
\(508\) −6.13312 + 15.6269i −0.272113 + 0.693333i
\(509\) −14.3218 + 7.51664i −0.634801 + 0.333169i −0.751241 0.660029i \(-0.770544\pi\)
0.116440 + 0.993198i \(0.462852\pi\)
\(510\) 0.482767 0.389560i 0.0213773 0.0172500i
\(511\) −13.6663 6.97326i −0.604563 0.308479i
\(512\) −25.2955 2.62924i −1.11792 0.116197i
\(513\) −0.464513 + 2.57655i −0.0205087 + 0.113757i
\(514\) 20.1017 12.0731i 0.886648 0.532521i
\(515\) −10.6249 0.612014i −0.468189 0.0269686i
\(516\) −0.0463109 0.0166549i −0.00203873 0.000733191i
\(517\) −2.97055 2.63168i −0.130645 0.115741i
\(518\) −0.293268 0.167076i −0.0128855 0.00734089i
\(519\) 0.413314 + 1.08982i 0.0181425 + 0.0478378i
\(520\) −0.0858353 + 0.107634i −0.00376413 + 0.00472006i
\(521\) 12.7636 + 2.07429i 0.559183 + 0.0908761i 0.433433 0.901186i \(-0.357302\pi\)
0.125750 + 0.992062i \(0.459866\pi\)
\(522\) 24.3458 + 36.1539i 1.06558 + 1.58241i
\(523\) −8.20090 + 30.9622i −0.358600 + 1.35388i 0.510769 + 0.859718i \(0.329361\pi\)
−0.869369 + 0.494164i \(0.835474\pi\)
\(524\) −14.7047 3.44539i −0.642378 0.150512i
\(525\) 0.0611314 + 0.0651283i 0.00266799 + 0.00284243i
\(526\) −4.31773 + 0.701699i −0.188262 + 0.0305955i
\(527\) −7.84952 + 13.9644i −0.341930 + 0.608301i
\(528\) 0.444970 0.240109i 0.0193648 0.0104494i
\(529\) 0.0629500 + 0.0312125i 0.00273696 + 0.00135707i
\(530\) −8.29461 + 49.2475i −0.360295 + 2.13917i
\(531\) −7.97455 0.367333i −0.346066 0.0159409i
\(532\) −13.5774 11.7525i −0.588657 0.509535i
\(533\) 0.0291590 + 0.0742960i 0.00126302 + 0.00321812i
\(534\) 0.362631 + 0.0546578i 0.0156926 + 0.00236528i
\(535\) −9.65854 + 38.2380i −0.417575 + 1.65317i
\(536\) 5.10990 + 5.31997i 0.220714 + 0.229788i
\(537\) 0.0668195 0.122143i 0.00288348 0.00527085i
\(538\) −43.6166 21.0047i −1.88045 0.905575i
\(539\) 15.2502 + 0.526690i 0.656871 + 0.0226862i
\(540\) 0.882404 + 2.17441i 0.0379726 + 0.0935719i
\(541\) 9.45055 39.3145i 0.406311 1.69026i −0.277599 0.960697i \(-0.589539\pi\)
0.683910 0.729567i \(-0.260278\pi\)
\(542\) 15.3505 28.8433i 0.659359 1.23893i
\(543\) −0.307990 0.00708975i −0.0132171 0.000304250i
\(544\) −3.33636 + 14.6175i −0.143045 + 0.626722i
\(545\) 18.6764 + 0.214932i 0.800010 + 0.00920666i
\(546\) −0.0103727 −0.000443909
\(547\) −20.3163 11.5865i −0.868663 0.495404i
\(548\) −5.41791 −0.231442
\(549\) 43.1714 + 0.496824i 1.84251 + 0.0212039i
\(550\) 1.29716 5.68324i 0.0553112 0.242334i
\(551\) −39.3527 0.905876i −1.67648 0.0385916i
\(552\) −0.217247 + 0.408204i −0.00924663 + 0.0173743i
\(553\) 0.628745 2.61560i 0.0267370 0.111227i
\(554\) 18.5060 + 45.6024i 0.786246 + 1.93746i
\(555\) −0.0198855 0.000686781i −0.000844094 2.91522e-5i
\(556\) −12.2782 5.91285i −0.520710 0.250761i
\(557\) 4.88133 8.92283i 0.206828 0.378073i −0.753280 0.657700i \(-0.771530\pi\)
0.960109 + 0.279627i \(0.0902109\pi\)
\(558\) −37.1238 38.6500i −1.57158 1.63618i
\(559\) −0.00331684 + 0.0131313i −0.000140287 + 0.000555396i
\(560\) 5.79188 + 0.872985i 0.244751 + 0.0368903i
\(561\) −0.144526 0.368246i −0.00610188 0.0155473i
\(562\) 19.3136 + 16.7177i 0.814696 + 0.705193i
\(563\) 19.7038 + 0.907618i 0.830414 + 0.0382515i 0.457058 0.889437i \(-0.348903\pi\)
0.373356 + 0.927688i \(0.378207\pi\)
\(564\) 0.0471115 0.279714i 0.00198375 0.0117781i
\(565\) 25.9660 + 12.8747i 1.09240 + 0.541644i
\(566\) −6.75016 + 3.64244i −0.283730 + 0.153103i
\(567\) 5.23204 9.30790i 0.219725 0.390895i
\(568\) −1.45957 + 0.237204i −0.0612423 + 0.00995284i
\(569\) −28.9379 30.8300i −1.21314 1.29246i −0.944227 0.329295i \(-0.893189\pi\)
−0.268913 0.963164i \(-0.586665\pi\)
\(570\) −1.82475 0.427549i −0.0764305 0.0179080i
\(571\) −2.02244 + 7.63565i −0.0846365 + 0.319542i −0.995690 0.0927467i \(-0.970435\pi\)
0.911053 + 0.412289i \(0.135270\pi\)
\(572\) 0.213571 + 0.317157i 0.00892987 + 0.0132610i
\(573\) −1.09651 0.178201i −0.0458075 0.00744444i
\(574\) −2.36495 + 2.96555i −0.0987111 + 0.123780i
\(575\) −1.69246 4.46265i −0.0705805 0.186105i
\(576\) −30.8205 17.5586i −1.28419 0.731607i
\(577\) −17.0605 15.1143i −0.710240 0.629217i 0.228621 0.973516i \(-0.426578\pi\)
−0.938860 + 0.344298i \(0.888117\pi\)
\(578\) −26.8670 9.66222i −1.11752 0.401895i
\(579\) 0.590010 + 0.0339857i 0.0245200 + 0.00141240i
\(580\) −30.2460 + 18.1657i −1.25590 + 0.754291i
\(581\) −1.28979 + 7.15416i −0.0535094 + 0.296805i
\(582\) 0.100598 + 0.0104563i 0.00416994 + 0.000433427i
\(583\) 28.3680 + 14.4748i 1.17488 + 0.599485i
\(584\) −12.7877 + 10.3188i −0.529158 + 0.426994i
\(585\) 0.285638 0.149914i 0.0118097 0.00619819i
\(586\) 19.1418 48.7726i 0.790741 2.01478i
\(587\) 8.28886 14.3567i 0.342118 0.592566i −0.642708 0.766111i \(-0.722189\pi\)
0.984826 + 0.173546i \(0.0555224\pi\)
\(588\) 0.545322 + 0.944526i 0.0224887 + 0.0389516i
\(589\) 47.8573 7.21332i 1.97192 0.297220i
\(590\) 1.11724 11.3855i 0.0459961 0.468734i
\(591\) 0.911131 + 0.993368i 0.0374789 + 0.0408617i
\(592\) 0.260932 0.191419i 0.0107242 0.00786728i
\(593\) 21.2095 + 5.22767i 0.870970 + 0.214675i 0.649379 0.760465i \(-0.275029\pi\)
0.221591 + 0.975140i \(0.428875\pi\)
\(594\) 2.64073 0.213182i 0.108350 0.00874695i
\(595\) 1.22425 4.41614i 0.0501892 0.181044i
\(596\) −16.3672 + 15.9030i −0.670429 + 0.651413i
\(597\) −0.495112 0.753831i −0.0202636 0.0308522i
\(598\) 0.512354 + 0.211361i 0.0209517 + 0.00864320i
\(599\) 46.0507 + 8.02895i 1.88158 + 0.328054i 0.991745 0.128226i \(-0.0409282\pi\)
0.889836 + 0.456280i \(0.150818\pi\)
\(600\) 0.0903869 0.0313362i 0.00369003 0.00127929i
\(601\) 1.59401 1.95231i 0.0650212 0.0796365i −0.741070 0.671427i \(-0.765681\pi\)
0.806091 + 0.591791i \(0.201579\pi\)
\(602\) −0.619268 + 0.175517i −0.0252395 + 0.00715355i
\(603\) −5.94289 16.2310i −0.242013 0.660979i
\(604\) 4.65316 + 16.7850i 0.189334 + 0.682972i
\(605\) −6.06743 3.54973i −0.246676 0.144317i
\(606\) −2.13789 + 0.910869i −0.0868458 + 0.0370015i
\(607\) −1.38931 1.25965i −0.0563904 0.0511278i 0.643010 0.765858i \(-0.277685\pi\)
−0.699401 + 0.714730i \(0.746550\pi\)
\(608\) 41.0358 19.1832i 1.66422 0.777983i
\(609\) −0.571929 0.213148i −0.0231758 0.00863720i
\(610\) −3.91338 + 61.7478i −0.158448 + 2.50009i
\(611\) −0.0778748 0.00538551i −0.00315048 0.000217874i
\(612\) −8.89207 + 11.9761i −0.359441 + 0.484104i
\(613\) 24.3005 14.2170i 0.981488 0.574218i 0.0753312 0.997159i \(-0.475999\pi\)
0.906157 + 0.422941i \(0.139002\pi\)
\(614\) 8.08448 + 7.85518i 0.326263 + 0.317009i
\(615\) −0.0422033 + 0.219589i −0.00170180 + 0.00885470i
\(616\) −1.83188 + 3.74860i −0.0738084 + 0.151035i
\(617\) 45.6648 + 5.27828i 1.83840 + 0.212495i 0.962738 0.270435i \(-0.0871675\pi\)
0.875659 + 0.482930i \(0.160428\pi\)
\(618\) −0.842400 + 0.166934i −0.0338863 + 0.00671507i
\(619\) 0.331486 + 0.173977i 0.0133235 + 0.00699274i 0.471372 0.881935i \(-0.343759\pi\)
−0.458048 + 0.888927i \(0.651451\pi\)
\(620\) 32.7992 28.3906i 1.31725 1.14019i
\(621\) 1.70364 1.34265i 0.0683648 0.0538785i
\(622\) −5.13538 + 1.98146i −0.205910 + 0.0794495i
\(623\) 2.41317 1.23132i 0.0966815 0.0493318i
\(624\) 0.00405557 0.00908082i 0.000162353 0.000363524i
\(625\) 7.16116 17.6465i 0.286446 0.705860i
\(626\) −27.5632 19.7365i −1.10165 0.788830i
\(627\) −0.609452 + 1.02810i −0.0243392 + 0.0410582i
\(628\) −9.28037 11.6372i −0.370327 0.464375i
\(629\) −0.124065 0.220714i −0.00494679 0.00880044i
\(630\) 12.9575 + 8.19382i 0.516239 + 0.326450i
\(631\) −25.4618 + 3.53860i −1.01362 + 0.140869i −0.625078 0.780562i \(-0.714933\pi\)
−0.388541 + 0.921431i \(0.627021\pi\)
\(632\) −2.28318 1.75717i −0.0908201 0.0698965i
\(633\) −0.0304934 + 0.277817i −0.00121200 + 0.0110422i
\(634\) 28.4277 30.9936i 1.12901 1.23091i
\(635\) 8.63850 + 9.63854i 0.342808 + 0.382494i
\(636\) 0.196216 + 2.26781i 0.00778048 + 0.0899244i
\(637\) 0.244033 0.174738i 0.00966892 0.00692339i
\(638\) 9.30991 + 38.7295i 0.368583 + 1.53332i
\(639\) 3.35451 + 0.867879i 0.132703 + 0.0343328i
\(640\) 10.5455 16.4658i 0.416847 0.650870i
\(641\) −41.1265 + 2.84414i −1.62440 + 0.112337i −0.852260 0.523118i \(-0.824769\pi\)
−0.772138 + 0.635454i \(0.780813\pi\)
\(642\) 0.0183113 + 3.18241i 0.000722688 + 0.125600i
\(643\) 7.92717 27.3678i 0.312617 1.07928i −0.638288 0.769798i \(-0.720357\pi\)
0.950905 0.309482i \(-0.100156\pi\)
\(644\) 1.96318 + 14.7479i 0.0773602 + 0.581148i
\(645\) −0.0275167 + 0.0261274i −0.00108347 + 0.00102877i
\(646\) −7.42184 22.6644i −0.292008 0.891721i
\(647\) 18.7387 + 29.2588i 0.736693 + 1.15028i 0.983446 + 0.181203i \(0.0579990\pi\)
−0.246753 + 0.969078i \(0.579364\pi\)
\(648\) −6.81713 9.18147i −0.267802 0.360682i
\(649\) −6.71165 2.85957i −0.263455 0.112248i
\(650\) −0.0479593 0.104150i −0.00188112 0.00408509i
\(651\) 0.737762 + 0.137395i 0.0289152 + 0.00538493i
\(652\) −13.1702 + 38.7067i −0.515785 + 1.51587i
\(653\) 15.0923 5.03855i 0.590607 0.197174i −0.00562720 0.999984i \(-0.501791\pi\)
0.596234 + 0.802811i \(0.296663\pi\)
\(654\) 1.46337 0.360688i 0.0572223 0.0141040i
\(655\) −7.46778 + 8.93450i −0.291790 + 0.349100i
\(656\) −1.67155 3.22990i −0.0652631 0.126107i
\(657\) 37.1623 10.0723i 1.44984 0.392957i
\(658\) −1.62883 3.33310i −0.0634983 0.129938i
\(659\) −13.5253 38.2994i −0.526872 1.49193i −0.840194 0.542285i \(-0.817559\pi\)
0.313322 0.949647i \(-0.398558\pi\)
\(660\) 0.0308146 + 1.07080i 0.00119946 + 0.0416809i
\(661\) −7.66365 28.9338i −0.298082 1.12540i −0.935053 0.354509i \(-0.884648\pi\)
0.636971 0.770888i \(-0.280187\pi\)
\(662\) −0.763251 + 0.871585i −0.0296646 + 0.0338751i
\(663\) −0.00667047 0.00400628i −0.000259060 0.000155591i
\(664\) 6.43272 + 4.38575i 0.249638 + 0.170200i
\(665\) −12.7989 + 5.27994i −0.496322 + 0.204747i
\(666\) 0.826862 0.183727i 0.0320402 0.00711927i
\(667\) 23.9070 + 22.1825i 0.925683 + 0.858908i
\(668\) 2.43453 60.4123i 0.0941949 2.33742i
\(669\) 1.34164 0.608470i 0.0518707 0.0235248i
\(670\) 23.6698 7.30118i 0.914446 0.282069i
\(671\) 36.8105 + 14.2032i 1.42106 + 0.548308i
\(672\) 0.698622 0.0726153i 0.0269499 0.00280120i
\(673\) −2.07332 + 27.6666i −0.0799207 + 1.06647i 0.802700 + 0.596383i \(0.203396\pi\)
−0.882621 + 0.470085i \(0.844223\pi\)
\(674\) −4.74359 + 12.9555i −0.182716 + 0.499029i
\(675\) −0.447296 0.0361095i −0.0172164 0.00138985i
\(676\) −32.0049 10.6848i −1.23096 0.410954i
\(677\) 4.60511 6.05542i 0.176989 0.232729i −0.698927 0.715193i \(-0.746339\pi\)
0.875916 + 0.482464i \(0.160258\pi\)
\(678\) 2.28871 + 0.480978i 0.0878975 + 0.0184719i
\(679\) 0.649201 0.369852i 0.0249141 0.0141936i
\(680\) −3.78384 3.12587i −0.145104 0.119872i
\(681\) −1.51690 1.50820i −0.0581279 0.0577944i
\(682\) −19.4556 44.9450i −0.744992 1.72103i
\(683\) −5.63424 + 27.5983i −0.215588 + 1.05602i 0.717551 + 0.696505i \(0.245263\pi\)
−0.933140 + 0.359514i \(0.882942\pi\)
\(684\) 45.0531 1.03710i 1.72265 0.0396544i
\(685\) −1.87713 + 3.73171i −0.0717213 + 0.142581i
\(686\) 29.2976 + 13.2873i 1.11859 + 0.507311i
\(687\) −1.52938 0.194637i −0.0583496 0.00742585i
\(688\) 0.0884673 0.610767i 0.00337279 0.0232853i
\(689\) 0.615838 0.114689i 0.0234615 0.00436929i
\(690\) 0.896726 + 1.26768i 0.0341378 + 0.0482597i
\(691\) −22.1737 11.9651i −0.843526 0.455173i −0.00496949 0.999988i \(-0.501582\pi\)
−0.838557 + 0.544814i \(0.816600\pi\)
\(692\) 33.9460 21.4661i 1.29043 0.816019i
\(693\) 7.46508 6.31290i 0.283575 0.239807i
\(694\) 3.68817 + 6.06153i 0.140001 + 0.230092i
\(695\) −8.32659 + 6.40827i −0.315846 + 0.243080i
\(696\) −0.458218 + 0.466197i −0.0173687 + 0.0176712i
\(697\) −2.66626 + 0.993668i −0.100992 + 0.0376379i
\(698\) 1.65584 + 5.47986i 0.0626746 + 0.207416i
\(699\) −1.49793 + 0.742721i −0.0566570 + 0.0280923i
\(700\) 1.77752 2.51284i 0.0671840 0.0949762i
\(701\) 8.39401 18.2287i 0.317037 0.688488i −0.682046 0.731310i \(-0.738909\pi\)
0.999083 + 0.0428216i \(0.0136347\pi\)
\(702\) 0.0386053 0.0350025i 0.00145706 0.00132108i
\(703\) −0.295780 + 0.705450i −0.0111555 + 0.0266065i
\(704\) −20.7890 24.8721i −0.783515 0.937402i
\(705\) −0.176337 0.129361i −0.00664125 0.00487202i
\(706\) −5.51009 50.2010i −0.207375 1.88934i
\(707\) −8.92344 + 14.6657i −0.335601 + 0.551561i
\(708\) −0.0806815 0.515156i −0.00303219 0.0193608i
\(709\) −20.0318 25.7207i −0.752309 0.965963i 0.247687 0.968840i \(-0.420330\pi\)
−0.999996 + 0.00287737i \(0.999084\pi\)
\(710\) −1.49089 + 4.73643i −0.0559522 + 0.177755i
\(711\) 3.24005 + 5.92265i 0.121511 + 0.222117i
\(712\) −0.150184 2.89758i −0.00562839 0.108592i
\(713\) −33.6418 21.8198i −1.25990 0.817157i
\(714\) 0.00638286 0.369738i 0.000238873 0.0138371i
\(715\) 0.292445 0.0372180i 0.0109368 0.00139187i
\(716\) −4.58438 1.41409i −0.171326 0.0528471i
\(717\) 0.514897 + 0.405792i 0.0192292 + 0.0151546i
\(718\) 12.5256 0.576968i 0.467450 0.0215323i
\(719\) 2.58044 21.2518i 0.0962340 0.792558i −0.862066 0.506795i \(-0.830830\pi\)
0.958300 0.285763i \(-0.0922470\pi\)
\(720\) −12.2395 + 8.14006i −0.456141 + 0.303362i
\(721\) −4.34180 + 4.62568i −0.161697 + 0.172270i
\(722\) −17.4933 + 25.9779i −0.651033 + 0.966796i
\(723\) −0.986526 1.12655i −0.0366893 0.0418969i
\(724\) 1.88349 + 10.4473i 0.0699994 + 0.388271i
\(725\) −0.504205 6.72815i −0.0187257 0.249877i
\(726\) −0.545740 0.154678i −0.0202543 0.00574063i
\(727\) 7.62762 5.33002i 0.282893 0.197680i −0.422752 0.906245i \(-0.638936\pi\)
0.705645 + 0.708566i \(0.250657\pi\)
\(728\) 0.0164154 + 0.0804080i 0.000608395 + 0.00298012i
\(729\) 5.93997 + 26.0247i 0.219999 + 0.963878i
\(730\) 11.6583 + 53.9319i 0.431494 + 1.99611i
\(731\) −0.466031 0.126311i −0.0172368 0.00467177i
\(732\) 0.532252 + 2.76938i 0.0196726 + 0.102359i
\(733\) −19.0137 + 28.9492i −0.702286 + 1.06926i 0.291350 + 0.956617i \(0.405896\pi\)
−0.993635 + 0.112645i \(0.964068\pi\)
\(734\) 32.6376 22.2519i 1.20467 0.821333i
\(735\) 0.839501 0.0483568i 0.0309654 0.00178367i
\(736\) −35.9878 10.6488i −1.32653 0.392521i
\(737\) 0.0908874 15.7958i 0.00334788 0.581846i
\(738\) −0.602073 9.49990i −0.0221626 0.349696i
\(739\) 1.19365 3.95027i 0.0439091 0.145313i −0.932537 0.361074i \(-0.882410\pi\)
0.976446 + 0.215761i \(0.0692233\pi\)
\(740\) 0.113876 + 0.676114i 0.00418616 + 0.0248544i
\(741\) 0.00283361 + 0.0233369i 0.000104095 + 0.000857302i
\(742\) 19.3540 + 22.6210i 0.710507 + 0.830444i
\(743\) −16.3678 + 15.1871i −0.600478 + 0.557162i −0.920745 0.390166i \(-0.872418\pi\)
0.320267 + 0.947327i \(0.396227\pi\)
\(744\) 0.456564 0.661448i 0.0167385 0.0242499i
\(745\) 5.28288 + 16.7832i 0.193550 + 0.614889i
\(746\) −18.9913 + 19.7721i −0.695323 + 0.723908i
\(747\) −9.66149 15.4748i −0.353495 0.566194i
\(748\) −11.4366 <